• Semirational rogue waves for the three coupled variable-coefficient nonlinear Schrödinger equations in an inhomogeneous multicomponent optical fibre

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      https://www.ias.ac.in/article/fulltext/pram/092/01/0009

    • Keywords

       

      Inhomogeneous multicomponent optical fibre; picosecond pulse; three coupled variable-coefficient nonlinear Schrödinger equations; Darboux dressing transformation; semirational rogue waves.

    • Abstract

       

      In this paper, we investigate the three coupled variable-coefficient nonlinear Schrödinger equations, which describe the amplification or attenuation of the picosecond pulse propagation in the inhomogeneous multicomponent optical fibre with different frequencies or polarisations. Based on the Darboux dressing transformation, semirational rogue wave solutions are derived. Semirational rogue waves, Peregrine combs and Peregrine walls are obtained and demonstrated. Splitting behaviour of the semirational Peregrine combs and attenuating phenomenon of the semirational Peregrine wall are exhibited. Effects of the group velocity dispersion, nonlinearity and fibre gain/loss are discussed according to the different fibres.We find that the maximum amplitude of the hump of the semirational rogue wave is less than nine times the background height due to the interaction between the soliton part and rogue wave part. Further, there is a bent in the soliton part of the semirational rogue.

    • Author Affiliations

       

      HAN-PENG CHAI1 BO TIAN1 JUN CHAI1 ZHONG DU1

      1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
    • Dates

       
  • Pramana – Journal of Physics | News

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